135024032 has 96 divisors (see below), whose sum is σ = 328950720. Its totient is φ = 53637120.

The previous prime is 135024011. The next prime is 135024079. The reversal of 135024032 is 230420531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135023995 and 135024013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86168 + ... + 87720.

It is an arithmetic number, because the mean of its divisors is an integer number (3426570).

Almost surely, 2^135024032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164475360).

135024032 is an abundant number, since it is smaller than the sum of its proper divisors (193926688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135024032 is a wasteful number, since it uses less digits than its factorization.

135024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 135024032 is about 11619.9841652216. The cubic root of 135024032 is about 513.0232223021.

Adding to 135024032 its reverse (230420531), we get a palindrome (365444563).

The spelling of 135024032 in words is "one hundred thirty-five million, twenty-four thousand, thirty-two".